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expeople1 [14]
3 years ago
7

In 9b3 + 2b4 − 17b + b2, which term has the largest exponent?

Mathematics
1 answer:
nlexa [21]3 years ago
6 0
2b4 has the longest
You might be interested in
What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
4 years ago
If there are 52 weeks in a year, how many more hours does a squirrel sleep in a year than a rabbit?
AveGali [126]

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel  and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

To know more about Difference of the number here.

brainly.com/question/666360

#SPJ4

5 0
2 years ago
harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how
dangina [55]

Answer:

9.54 feet

Step-by-step explanation:

Using Pythagoras rule :

Length of ramp = 10 feets = hypotenus

Hypotenus² = opposite² - adjacent²

d² = 10² - 3²

d² = 100 - 9

d² = 91

d = √91

d = 9.5393920

d = 9.54 feets

3 0
3 years ago
Round 24.5834 to 2 decimal places
weqwewe [10]

Answer:

24.58

Step-by-step explanation:

3 0
4 years ago
PLS HELPP!! thank you
VashaNatasha [74]

Answer:

$20.71/ft^{2}

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

3 0
3 years ago
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